Yes you can because False Swipe was introduced in Generation 2 and Fire red/ Leaf Green are part of Generation 3. Source: http://pokemondb.net/move/false-swipe How to get False Swipe in leaf green: http://wiki.answers.com/Q/Where_can_you_find_the_TM_False_Swipe_in_Pokemon_Firered_and_Leafgreen Hope I helped:)
